2.4x+5.6(14-x)=49.6

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Solution for 2.4x+5.6(14-x)=49.6 equation: 


Simplifying
2.4x + 5.6(14 + -1x) = 49.6
2.4x + (14 * 5.6 + -1x * 5.6) = 49.6
2.4x + (78.4 + -5.6x) = 49.6

Reorder the terms:
78.4 + 2.4x + -5.6x = 49.6

Combine like terms: 2.4x + -5.6x = -3.2x
78.4 + -3.2x = 49.6

Solving
78.4 + -3.2x = 49.6

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-78.4' to each side of the equation.
78.4 + -78.4 + -3.2x = 49.6 + -78.4

Combine like terms: 78.4 + -78.4 = 0.0
0.0 + -3.2x = 49.6 + -78.4
-3.2x = 49.6 + -78.4

Combine like terms: 49.6 + -78.4 = -28.8
-3.2x = -28.8

Divide each side by '-3.2'.
x = 9

Simplifying
x = 9

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